Data assimilation with higher order finite element interpolants

نویسندگان

چکیده

The efficiency of a nudging data assimilation algorithm using higher order finite element interpolating operators is studied. Numerical experiments are presented for the 2D Navier–Stokes equations in three cases: shear flow an annulus, forced disk with off-center cavity, and box all satisfying Dirichlet boundary conditions. In cases, second interpolation coarse-grain shown to outperform first interpolation. Convergence nudged solution that direct numerical reference proved. analysis points trade-off estimates

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ژورنال

عنوان ژورنال: International Journal for Numerical Methods in Fluids

سال: 2022

ISSN: ['1097-0363', '0271-2091']

DOI: https://doi.org/10.1002/fld.5152